IJPAM: Volume 70, No. 5 (2011)
THE CENTROIDAL AND HARMONIC MEANS
FOR THE SEIFFERT MEAN
College of Mathematics and Computer Science
Baoding, 071002, P.R. CHINA
Abstract. We find the greatest value and the least value such that the double inequality
holds for all with . Here , and denote the Centroidal, harmonic, and the Seiffert means of two positive numbers and , respectively.
Received: February 9, 2011
AMS Subject Classification: 26D15
Key Words and Phrases: optimal convex combination bound, Centroidal mean, harmonic mean, the Seiffert mean
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395